SOLUTION: If p is a positive integer, then p(p+1)(p-1) is divisible by ? A)7 B)5 C)4 D)3

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: If p is a positive integer, then p(p+1)(p-1) is divisible by ? A)7 B)5 C)4 D)3      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1143903: If p is a positive integer, then p(p+1)(p-1) is divisible by ?
A)7
B)5
C)4
D)3

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

Then p*(p+1)*(p-1) is divisible by 3   (option D).


But even more strong statement is valid, too :  p*(p+1)*(p-1)  is divisible by 6.